# a ladder 15 metres long just reaches the top of a vertical wall. if the ladder makes an angle of 60° with the wall, then the height of the wall will be

### Mohammed

Guys, does anyone know the answer?

get a ladder 15 metres long just reaches the top of a vertical wall. if the ladder makes an angle of 60° with the wall, then the height of the wall will be from screen.

## A ladder 15 m long just reaches the top of a vertical wall If the ladder makes an angle of 60 with t...

Free solutions for Mathematics Exemplar Problems - class 10 Chapter 9 - Introduction to Trigonometry and Its Equations Introduction to Trigonometry and Its Equations - Exercise 8.3 question 4. These explanations are written by Lido teacher so that you easily understand even the most difficult concepts

## NCERT Exemplar Solutions Class 10 Mathematics Solutions for Introduction to Trigonometry and Its Equations - Exercise 8.3 in Chapter 8 - Introduction to Trigonometry and Its Equations

Prev Question 4 Next

A ladder 15 m long just reaches the top of a vertical wall. If the ladder makes an angle of 60° with the wall, find the height of the wall.

Answer:

Consider the vertical wall WL = x m (let)

Length of inclined ladder AW = 15 m ...[Given]

Ladder makes an angle of 60° with the wall.

\begin{array}{l} \therefore \frac{x}{15}=\cos 60^{\circ} \\ \Rightarrow \frac{x}{15}=\frac{1}{2} \\ \Rightarrow x=\frac{15}{2}=7.5 \end{array}

∴ 15 x =cos60 ∘ ⇒ 15 x = 2 1 ⇒x= 2 15 =7.5

Hence, the height of the wall = 7.5 m.

Related Questions

**State whether the following statment is true or false.****If tan A = ¾, then sinA cosA **

**State whether the following statment is true or false.****(√3+1) (3 – cot 30°) = tan^{3}**...

**State whether the following statment is true or false.**

Find the angle of elevation when the shadow of a pole 'h' m high is m lo...

Express tan^{4}θ + tan

^{2}θ in terms of sec θIf , then find the valueof sin

^{2}θ – cos

^{2}θ.

Was This helpful?

## A ladder 15 m long just reaches the top of a vertical wall. If the ladder makes an angle of 60∘ with the wall, then find the height of the wall.

A ladder 15 m long just reaches the top of a vertical wall. If the ladder makes an angle of 60∘ with the wall, then find the height of the wall.

Byju's Answer Standard X Mathematics Angle of Elevation A ladder 15 m... Question

A ladder 15 m long just reaches the top of a vertical wall. If the ladder makes an angle of

60 ∘

with the wall, then find the height of the wall.

Open in App Solution

Given that, the height of the ladder = 15 m

Let the height of the vertical wall = h

And the ladder makes an angle of elevation

60 ∘ with the wall i.e., θ = 60 ∘ In Δ Q R P , cos 60 ∘ = P R P Q = h 15 ⇒ 1 2 = h 15 [ ∵ cos 60 ∘ = 1 2 ] ⇒ h = 15 2 = 7.5 m

Hence, the required height of the wall is

15 2 = 7.5 m . Suggest Corrections 41 Video Solution

EXEMP - Grade 10 - MATHEMATICS - Introduction to Trigonometry and its Applications - Q37

MATHEMATICS

05:17 Min | 350 Views

Rate

SIMILAR QUESTIONS

**Q.**

A ladder 15 metres long just reaches the top of a vertical wall. If the ladder makes an angle of

60 ∘

with the wall, find the height of the wall.

**Q.**Question 15

Foot of a 10m long ladder leaning against a vertical wall is 6m away from the base of the wall. Find the height of the point on the wall where the top of the ladder reaches.

EXPLORE MORE Angle of Elevation

Standard X Mathematics

## A ladder 15 m long just reaches the top of a vertical wall. If the ladder makes an angle of 60^∘ with the wall. Find the height of the wall.

Click here👆to get an answer to your question ✍️ A ladder 15 m long just reaches the top of a vertical wall. If the ladder makes an angle of 60^∘ with the wall. Find the height of the wall.

A ladder 15m long just reaches the top of a vertical wall. If the ladder makes an angle of 60Question ∘

with the wall. Find the height of the wall.

Hard Open in App

Updated on : 2022-09-05

Solution Verified by Toppr

Let the length of the ladder be =15m(hypotenuse)

The angle between the ladder and the wall ∠BCA=60

∘

Angle between ladder and the ground ∠CAB=90

∘ −60 ∘ =30 ∘

Height of the wall =BC

sin30 ∘ = 15 BC ⇒ 2 1 = 15 BC ⇒BC= 2 15 =7.5m

Solve any question of Some Applications of Trigonometry with:-

Patterns of problems

>

Was this answer helpful?

402 40

Guys, does anyone know the answer?